Question

In the rhombus, angle 1=4y-2. Find the value of y.

Answer 1

y = 23

Explanation:

Since it's a rhombus, we know that the two diagonals are perpendicular.

That means that angle 1 is necessary a right angle, so it's worth 90 degrees since it's at the meeting point of the two perpendicular diagonals.

So, we have

∠1 = 4y - 2

All we have to do is to replace ∠1 by its value (90) and solve the mini-equation:

90 = 4y - 2

92 = 4y

y = 23